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Finding the Fourth Proportional to 34,392, 47,461.68 and 19,488

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Solution

The fourth proportional to 34,392, 47,461.68 and 19,488 is: 26,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,392 : 47,461.68 = 19,488 : x
  2. Step 2: Convert to fraction form
    34,392/47,461.68 = 19,488/x
  3. Step 3: Cross multiply
    34,392x = 47,461.68 × 19,488
  4. Step 4: Simplify right side
    34,392x = 924,933,219.84
  5. Step 5: Solve for x
    x = 924,933,219.84/34,392
  6. Step 6: Final answer
    x = 26,893.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.